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211112010112 = 2717477328277
BaseRepresentation
bin1100010010011101000…
…0011010000110000000
3202011220202111021201111
43010213100122012000
511424324133310422
6240552235013104
721152360322643
oct3044720320600
9664822437644
10211112010112
1181594253933
1234ab8b9a194
1316ba5503aa3
14a309bcba5a
155758c8ba77
hex312741a180

211112010112 has 128 divisors (see below), whose sum is σ = 461035463040. Its totient is φ = 95897714688.

The previous prime is 211112010023. The next prime is 211112010143. The reversal of 211112010112 is 211010211112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 211112010092 and 211112010101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7451718 + ... + 7479994.

It is an arithmetic number, because the mean of its divisors is an integer number (3601839555).

Almost surely, 2211112010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211112010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230517731520).

211112010112 is an abundant number, since it is smaller than the sum of its proper divisors (249923452928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211112010112 is a wasteful number, since it uses less digits than its factorization.

211112010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28428 (or 28416 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211112010112 its reverse (211010211112), we get a palindrome (422122221224).

The spelling of 211112010112 in words is "two hundred eleven billion, one hundred twelve million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 73 94 128 136 146 188 272 292 376 544 584 752 799 1088 1168 1241 1504 1598 2176 2336 2482 3008 3196 3431 4672 4964 6016 6392 6862 9344 9928 12784 13724 19856 25568 27448 28277 39712 51136 54896 56554 58327 79424 102272 109792 113108 116654 158848 219584 226216 233308 439168 452432 466616 480709 904864 933232 961418 1329019 1809728 1866464 1922836 2064221 2658038 3619456 3732928 3845672 4128442 5316076 7465856 7691344 8256884 10632152 15382688 16513768 21264304 22593323 30765376 33027536 35091757 42528608 45186646 61530752 66055072 70183514 85057216 90373292 97018387 132110144 140367028 170114432 180746584 194036774 264220288 280734056 361493168 388073548 561468112 722986336 776147096 1122936224 1445972672 1552294192 1649312579 2245872448 2891945344 3104588384 3298625158 4491744896 6209176768 6597250316 12418353536 13194500632 26389001264 52778002528 105556005056 211112010112